Microscopic wave functions for the fractional quantized Hall states at ν=25 and 27
R. Morf, N. d’Ambrumenil, Bertrand I. Halperin
New microscopic trial wave functions are proposed for fractional quantized Hall states at $\ensuremath{\nu}=\frac{2}{(2p+1)}$. Results for $\ensuremath{\nu}=\frac{2}{5} \mathrm{and} \frac{2}{7}$ based on Monte Carlo and exact numerical computations are presented. For $N\ensuremath{\le}10$ electrons on a sphere, energies differ from the exact ground-state energy by less than 0.3%. For even $p$, such as $\ensuremath{\nu}=\frac{2}{5}$, the trial wave function may be regarded as a microscopic realization of the condensed quasiparticle state postulated in hierarchical schemes.
Physical review. B, Condensed matter•Aug 15, 1986•101 citations